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s344n2d4d5 [400]
3 years ago
14

What is the solution to the following inequality? |x + 10| < 18

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

x<18-10

x<8

Step-by-step explanation:

...........

klio [65]3 years ago
4 0
Key notes:

When dividing or multiplying by a negative, always flip the inequality sign!

Absolute values will always include a positive and negative situation.

I didn’t specifically mark the absolute throughout the solving process, but it is still there.

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Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG
Naddika [18.5K]

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

4 0
3 years ago
Find the area of this parallelogram.<br>6 cm<br>8 cm<br>15 cm​
stepan [7]

Answer:

90 cm

Step-by-step explanation:

15 x 6 = 90

6 0
3 years ago
Nemos aquarium is filled with 2400 cm of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the w
SSSSS [86.1K]

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

7 0
3 years ago
The value 5 is an upper bound for the zeros of the function shown below.
Mice21 [21]

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Step-by-step explanation:

Given

f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18

We know the rational zeros theorem such as:

if x=c is a zero of the function f(x),

then f(c) = 0.

As the f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18 is a polynomial of degree 4, hence it can not have more than 4 real zeros.

Let us put certain values in the function,

f(5) = 448, f(4) = 126, f(3) = 0, f(2) = -20,

f(1) = 0, f(0) = 18, f(-1) = 16, f(-2) = 0, f(-3) = 0

From the above calculation results, we determined that 4 zeros as

x = -3, -2, 1, and 3.

Hence, we can check that

f(x) = (x+3)(x+2)(x-1)(x-3)

Observe that,

for x > 3, f(x) increases rapidly, so there will be no zeros for x>3.

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

5 0
3 years ago
A^2 = 4 and B^2 = 3. What is C^2 × 15?
adoni [48]

Answer:

105

Step-by-step explanation:

Assuming A^2 + B^2 = C^2:

C^2 = 4 + 3 = 7

So,

C^2 * 15 = 49(15) = 105

Note: Since the relationship between A, B, and C isn't known, it cannot be said for certain that 105 is the answer.

7 0
2 years ago
Read 2 more answers
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